Highest Common Factor of 3680, 9761 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3680, 9761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3680, 9761 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 3680, 9761 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 3680, 9761 is 1.

HCF(3680, 9761) = 1

HCF of 3680, 9761 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 3680, 9761 is 1.

Highest Common Factor of 3680,9761 using Euclid's algorithm

Highest Common Factor of 3680,9761 is 1

Step 1: Since 9761 > 3680, we apply the division lemma to 9761 and 3680, to get

9761 = 3680 x 2 + 2401

Step 2: Since the reminder 3680 ≠ 0, we apply division lemma to 2401 and 3680, to get

3680 = 2401 x 1 + 1279

Step 3: We consider the new divisor 2401 and the new remainder 1279, and apply the division lemma to get

2401 = 1279 x 1 + 1122

We consider the new divisor 1279 and the new remainder 1122,and apply the division lemma to get

1279 = 1122 x 1 + 157

We consider the new divisor 1122 and the new remainder 157,and apply the division lemma to get

1122 = 157 x 7 + 23

We consider the new divisor 157 and the new remainder 23,and apply the division lemma to get

157 = 23 x 6 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3680 and 9761 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(157,23) = HCF(1122,157) = HCF(1279,1122) = HCF(2401,1279) = HCF(3680,2401) = HCF(9761,3680) .

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Frequently Asked Questions on HCF of 3680, 9761 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 3680, 9761?

Answer: HCF of 3680, 9761 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3680, 9761 using Euclid's Algorithm?

Answer: For arbitrary numbers 3680, 9761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.